Number Theory

I have already discussed clock arithmetic, modulo division, and number bases. We further our discussion in this post by learning how to change numbers from one base to another. The number system that we are using everyday is called the decimal number system or the base 10 number system (deci means 10). It is believed that […]Continue reading…

Although I have already discussed modulo division, I believe that this proof is beyond the reach of average high school students. To explain further, I made additional notes on Patrick’s proof . I hope these explanations would be able to help students who want to delve on the proof. *** I’ve got a prime number […]Continue reading…

This is the fourth part of the Introduction to the Modular Number Systems Series. In the previous parts, we have learned intuitively the modular systems using a 12-hour analog clock, performed operations with its numbers and introduce the symbol for congruence, and discussed the different number bases. In this post, we formally define congruence. Recall […]Continue reading…